Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian

Abstract

For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions. The approach is based on the Heisenberg equations of motion and operator calculus. The special and limiting cases are discussed.

15 pages, to be published in Scientific Reports

References in corpus (2)

• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• A new approach for open quantum systems based on a phonon number representation of a harmonic oscillator bath